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Finding the Fourth Proportional to 234.43, 351.72 and 111.07

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Solution

The fourth proportional to 234.43, 351.72 and 111.07 is: 166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.43 : 351.72 = 111.07 : x
  2. Step 2: Convert to fraction form
    234.43/351.72 = 111.07/x
  3. Step 3: Cross multiply
    234.43x = 351.72 × 111.07
  4. Step 4: Simplify right side
    234.43x = 39,065.54
  5. Step 5: Solve for x
    x = 39,065.54/234.43
  6. Step 6: Final answer
    x = 166.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.